3887206400 has 624 divisors, whose sum is σ = 13163264640. Its totient is φ = 1101004800.

The previous prime is 3887206387. The next prime is 3887206459. The reversal of 3887206400 is 46027883.

It is a super-2 number, since 2×3887206400² = 30220747192401920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134041586 + ... + 134041614.

Almost surely, 2^3887206400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581632320).

3887206400 is an abundant number, since it is smaller than the sum of its proper divisors (9276058240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3887206400 is a wasteful number, since it uses less digits than its factorization.

3887206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 3887206400 is about 62347.4650647482. The cubic root of 3887206400 is about 1572.3378426007.

The spelling of 3887206400 in words is "three billion, eight hundred eighty-seven million, two hundred six thousand, four hundred".